5 citations · 5 across the 4 of their papers we have counts for
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nlin.SI2005
Biorthogonal Laurent polynomials, Toeplitz determinants, minimal Toda orbits and isomonodromic tau functions
M. Bertola, M. Gekhtman
We consider the class of biorthogonal polynomials that are used to solve the inverse spectral problem associated to elementary co-adjoint orbits of the Borel group of upper triangu…
nlin.SI2000
Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
L. Faybusovich, M. Gekhtman
We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a…
nlin.SI2000
On billiard weak solutions of nonlinear PDE's and Toda flows
Mark Alber, Roberto Camassa, Michael Gekhtman
A certain class of partial differential equations possesses singular solutions having discontinuous first derivatives ("peakons"). The time evolution of peaks of such solutions is…